Show that the differential equation ry'+x(1+y')y = 0 is not exact, but becomes exact when multiplied by the integrating factor H(x, y) 1 Then solve the equation. %3D The given equation is not exact, because M, = which is different from N After multipliealion with p(c, U), the cquatiom is exact, because then M, = N, The general solution of the differential cquation is given implicitly by C, for any constant c, where y > 0.

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

A:

Q: Find the equation(s) of the tangent line(s) from xy^2-y-2=0 at x=1 (Use implicit differentation)

A: Put x= 1 to find the values of y and then find the equations of tangent.

Q: A curve has an equation of y = x - 6x2 + 9x + 2. Find the point of inflection of the curve. O a. (1,...

A:

Q: QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is cha...

A:

Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12 the ave...

A: topic - linear functions and application of derivatives

Q: Find the derivative of the vector function below 2, r(x ) = sin (secx ?)i +csc°(Vx² +1)j +8tan(x -) ...

A:

Q: n series converges. Use interval notation with exact values. 10,10)

A:

Q: Find the sum of the convergent series. 6 0.6 + 0.06 + 0.006 +. ..

A:

Q: Let a, h, and k denote constants. Which of the following intervals could possibily be the range of t...

A: Range of a function is the set of all possible output values (y values) of the function.

Q: A piston is seated at the top of a cylindrical chamber with radius 4 cm when it starts moving into t...

A: Given :radius of cylindrical chamber = 4 cmand dhdt=6cm/sVolume of cylinder when piston is 19 cm =?

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential equa...

A: A differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

A:

Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

A:

Q: Using differentials, determine the approximate increase in the surface area of a sphere if the radiu...

A: Topic:- application of derivatives

Q: Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o...

A:

Q: Choose 1. Determine the radius of convergence and interval of convergence. (x- 2)" ' (n+ 1)3" 00 n=1

A: Radius of convergence = 3

Q: Q Tanco da

A:

Q: 4x+2x2+48x-1le dx x²(x²+Ile)

A:

Q: 2n3 {(-1"ア+! 十3 n=1

A: Notes:limn→∞an exist if and only if all the subsequence converges to same limit.Suppose, limn→∞an = ...

Q: 70- 60 50 40- 30 20 10 -10 10 20 30 10. Diego is a lifeguard and spots a drowning child 30 meters al...

A: Diego is a lifeguard and spots a drowning child 30 meters along the shore and 70 meters from the sho...

Q: QUESTION 11 Find y" of y = X-1 y" = (x- 1)3 y" = -2 (x- 1)3 2 y": (x- 1)2 1 y" = (x-1)3 | %3D

A:

Q: Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. (If ...

A:

Q: 1 You are required to calculate the gradients of f(w,x) = 2+sin?(w,x1)+cos(W2x2) with respect to w, ...

A: f(w,x) =12+sin2(w1x1)+cos(w2x2)∂f∂w1 =-1(2+sin2(w1x1)+cos(w2x2))2ddw1(sin2(w1x1))∂f∂w1 =-2 x1sin(w1x...

Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

A:

Q: applying lim 6-ydy can be eliminated by The infinity in the V6-ydy t-- 80 O True O False

A:

Q: 7. If y = 6e, then y' = 30e*. The derivative of a product will never be equal to the product of deri...

A: Given,  f''(c)=0  On integrating both sides, ∫f''(c)=∫0 dc ⇒f'(c)=0 Where 'c' is a real number

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

A:

Q: M, - N If Q, where Q is a function of x only, then the differential %3D equation M+ Ny = 0 has an in...

A:

Q: 3 Which of the following properties describe the sequence n3 Jn=4 Bounded, not monotonic Not bounded...

A: We have to choose the correct option according to the given options using the property of sequence

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y ...

A: The curve y=x2-x2 at (1,1)

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: "Зх — 1 (c) f(x) = x2 + 3

A:  

Q: Differentiate. (а) у 3 За? sin z

A:

Q: Find the interval of convergence of Σ (х - 6) In (5n) n=2 (Use symbolic notation and fractions where...

A: Interval of convergence is given below.

Q: which expression would be easier to simplify if you used the comunative property to change the order...

A:

Q: V2x + 10 + Vx² – 5x + 10 lim - X→-1 x² + 1

A:

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1...

A:

Q: Solve the following problems on bond papers (maximum 3 bond papers) with 2 inch margin on all sides....

A:

Q: 7) Cobalt -60 has a half life of 5.4 years. A sample of 75 mg is present today. a) Write an equation...

A:

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

A:

Q: State the domain, vertical asymptote, and end behavior of the function.   h(x)=−log(3x−5)+6   En...

A: The given function,     h(x)=-log3x-5+6

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

A:

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

A:

Q: (8+8i)(1-i) Write the trigonometric forms of the complex numbers.

A: Multiply 

Q: Determine whether the equation is exact. If it is exact, find the solution. (e*siny + 4y)dx – (4x – ...

A: An equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂xand the solution is given by ∫Mdx+∫Ndy=C  On ...

Q: Evaluate the following integral. dx x(x² + 3) Can partial fraction decomposition be used to evaluate...

A:

Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

Q: The graph of an exponential function is shown in the figure below. The horizontal asymptote is shown...

A:

Q: and solve the equation + (4.ry – e v) dy = 0. | constant

A: